Limit theorems for height fluctuations in a class of discrete space and time growth models

DOI10.1023/A:1004879725949zbMath0989.82030arXivmath/0005133OpenAlexW1821888604MaRDI QIDQ5942282

Harold Widom, Craig A. Tracy, Janko Gravner

Publication date: 28 August 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005133

zbMATH Keywords

invariance principleFredholm determinantlimit theoremsAiry kernelgrowth processeslimiting distribution functionsaddle point analysisshape fluctuations

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

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